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Finding the Third Proportional to 117,364 and 252,980

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Solution

The third proportional to 117,364 and 252,980 is: 545,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,364 : 252,980 = 252,980 : x
  2. Step 2: Convert to fraction form
    117,364/252,980 = 252,980/x
  3. Step 3: Cross multiply
    117,364x = 252,980 × 252,980
  4. Step 4: Simplify right side
    117,364x = 63,998,880,400
  5. Step 5: Solve for x
    x = 63,998,880,400/117,364
  6. Step 6: Final answer
    x = 545,302.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.